Question

ABCD is a rectangle and P,Q,R and S are mid point of the sides AB,BC,CD and DA respectively. Show that the quadrilateral PQRS is a rhombus ( not square because in square all the sides are equal )

Answer 1

A rhombus and a square are both quadrilaterals meaning that they are two dimensional shapes with straight edges and four sides. However, they have really one major difference. The four angles on a squareare all right angles or angles. Rhombi (Rhombus plural) can have different angle measurements.both have all side are same but angle can be different from 90 in rhombus.so above given Solution by subject expert has proven that the all sides of quadrilateral are same but from above solution and given information we can't say about the angles that is right angle or not.angles can be different we do not have information to prove that all angles are right angles.so we can say that it is a rohmbus but we can't say that it is square.for that we need some external information to prove that it is an square.
Hope this helps:)